/*
 * @(#)Coefficients.cpp        6.1.0    2024-10-06
 *
 * MathParser.org-mXparser DUAL LICENSE AGREEMENT as of date 2024-05-19
 * The most up-to-date license is available at the below link:
 * - https://mathparser.org/mxparser-license
 *
 * AUTHOR: Copyright 2010 - 2024 Mariusz Gromada - All rights reserved
 * PUBLISHER: INFIMA - https://payhip.com/infima
 *
 * SOFTWARE means source code and/or binary form and/or documentation.
 * PRODUCT: MathParser.org-mXparser SOFTWARE
 * LICENSE: DUAL LICENSE AGREEMENT
 *
 * BY INSTALLING, COPYING, OR OTHERWISE USING THE PRODUCT, YOU AGREE TO BE
 * BOUND BY ALL OF THE TERMS AND CONDITIONS OF THE DUAL LICENSE AGREEMENT.
 *
 * The AUTHOR & PUBLISHER provide the PRODUCT under the DUAL LICENSE AGREEMENT
 * model designed to meet the needs of both non-commercial use and commercial
 * use.
 *
 * NON-COMMERCIAL USE means any use or activity where a fee is not charged
 * and the purpose is not the sale of a good or service, and the use or
 * activity is not intended to produce a profit. Examples of NON-COMMERCIAL USE
 * include:
 *
 * 1. Non-commercial open-source software.
 * 2. Non-commercial mobile applications.
 * 3. Non-commercial desktop software.
 * 4. Non-commercial web applications/solutions.
 * 5. Non-commercial use in research, scholarly and educational context.
 *
 * The above list is non-exhaustive and illustrative only.
 *
 * COMMERCIAL USE means any use or activity where a fee is charged or the
 * purpose is the sale of a good or service, or the use or activity is
 * intended to produce a profit. COMMERCIAL USE examples:
 *
 * 1. OEMs (Original Equipment Manufacturers).
 * 2. ISVs (Independent Software Vendors).
 * 3. VARs (Value Added Resellers).
 * 4. Other distributors that combine and distribute commercially licensed
 *    software.
 *
 * The above list is non-exhaustive and illustrative only.
 *
 * IN CASE YOU WANT TO USE THE PRODUCT COMMERCIALLY, YOU MUST PURCHASE THE
 * APPROPRIATE LICENSE FROM "INFIMA" ONLINE STORE, STORE ADDRESS:
 *
 * 1. https://mathparser.org/order-commercial-license
 * 2. https://payhip.com/infima
 *
 * NON-COMMERCIAL LICENSE
 *
 * Redistribution and use of the PRODUCT in source and/or binary forms,
 * with or without modification, are permitted provided that the following
 * conditions are met:
 *
 * 1. Redistributions of source code must retain the unmodified content of
 *    the entire MathParser.org-mXparser DUAL LICENSE AGREEMENT, including
 *    the definition of NON-COMMERCIAL USE, the definition of COMMERCIAL USE,
 *    the NON-COMMERCIAL LICENSE conditions, the COMMERCIAL LICENSE conditions,
 *    and the following DISCLAIMER.
 * 2. Redistributions in binary form must reproduce the entire content of
 *    MathParser.org-mXparser DUAL LICENSE AGREEMENT in the documentation
 *    and/or other materials provided with the distribution, including the
 *    definition of NON-COMMERCIAL USE, the definition of COMMERCIAL USE, the
 *    NON-COMMERCIAL LICENSE conditions, the COMMERCIAL LICENSE conditions,
 *    and the following DISCLAIMER.
 * 3. Any form of redistribution requires confirmation and signature of
 *    the NON-COMMERCIAL USE by successfully calling the method:
 *       License.iConfirmNonCommercialUse(...)
 *    The method call is used only internally for logging purposes, and
 *    there is no connection with other external services, and no data is
 *    sent or collected. The lack of a method call (or its successful call)
 *    does not affect the operation of the PRODUCT in any way. Please see
 *    the API documentation.
 *
 * COMMERCIAL LICENSE
 *
 *  1. Before purchasing a commercial license, the AUTHOR & PUBLISHER allow
 *     you to download, install, and use up to three copies of the PRODUCT to
 *     perform integration tests, confirm the quality of the PRODUCT, and
 *     its suitability. The testing period should be limited to fourteen
 *     days. Tests should be performed under the test environments conditions
 *     and not for profit generation.
 *  2. Provided that you purchased a license from "INFIMA" online store
 *     (store address: https://mathparser.org/order-commercial-license or
 *     https://payhip.com/infima), and you comply with all terms and
 *     conditions below, and you have acknowledged and understood the
 *     following DISCLAIMER, the AUTHOR & PUBLISHER grant you a nonexclusive
 *     license with the following rights:
 *  3. The license is granted only to you, the person or entity that made
 *     the purchase, identified and confirmed by the data provided during
 *     the purchase.
 *  4. If you purchased a license in the "ONE-TIME PURCHASE" model, the
 *     license is granted only for the PRODUCT version specified in the
 *     purchase. The upgrade policy gives you additional rights, described
 *     in the dedicated section below.
 *  5. If you purchased a license in the "SUBSCRIPTION" model, you may
 *     install and use any version of the PRODUCT during the subscription
 *     validity period.
 *  6. If you purchased a "SINGLE LICENSE" you may install and use the
 *     PRODUCT on/from one workstation that is located/accessible at/from
 *     any of your premises.
 *  7. Additional copies of the PRODUCT may be installed and used on/from
 *     more than one workstation, limited to the number of workstations
 *     purchased per order.
 *  8. If you purchased a "SITE LICENSE", the PRODUCT may be installed
 *     and used on/from all workstations located/accessible at/from any
 *     of your premises.
 *  9. You may incorporate the unmodified PRODUCT into your own products
 *     and software.
 * 10. If you purchased a license with the "SOURCE CODE" option, you may
 *     modify the PRODUCT's source code and incorporate the modified source
 *     code into your own products and/or software.
 * 11. Provided that the license validity period has not expired, you may
 *     distribute your product and/or software with the incorporated
 *     PRODUCT royalty-free.
 * 12. You may make copies of the PRODUCT for backup and archival purposes.
 * 13. Any form of redistribution requires confirmation and signature of
 *     the COMMERCIAL USE by successfully calling the method:
 *        License.iConfirmCommercialUse(...)
 *     The method call is used only internally for logging purposes, and
 *     there is no connection with other external services, and no data is
 *     sent or collected. The lack of a method call (or its successful call)
 *     does not affect the operation of the PRODUCT in any way. Please see
 *     the API documentation.
 * 14. The AUTHOR & PUBLISHER reserve all rights not expressly granted to
 *     you in this agreement.
 *
 * ADDITIONAL CLARIFICATION ON WORKSTATION
 *
 * A workstation is a device, a remote device, or a virtual device, used by
 * you, your employees, or other entities to whom you have commissioned
 * tasks. For example, the number of workstations may refer to the number
 * of software developers, engineers, architects, scientists, and other
 * professionals who use the PRODUCT on your behalf. The number of
 * workstations is not the number of copies of your end-product that you
 * distribute to your end-users.
 *
 * By purchasing the COMMERCIAL LICENSE, you only pay for the number of
 * workstations, while the number of copies/users of your final product
 * (delivered to your end-users) is not limited.
 *
 * Below are some examples to help you select the right license size:
 *
 * Example 1: Single Workstation License
 * Only one developer works on the development of your application. You do
 * not use separate environments for testing, meaning you design, create,
 * test, and compile your final application on one environment. In this
 * case, you need a license for a single workstation.
 *
 * Example 2: Up to 5 Workstations License
 * Two developers are working on the development of your application.
 * Additionally, one tester conducts tests in a separate environment.
 * You use three workstations in total, so you need a license for up to
 * five workstations.
 *
 * Example 3: Up to 20 Workstations License
 * Ten developers are working on the development of your application.
 * Additionally, five testers conduct tests in separate environments.
 * You use fifteen workstations in total, so you need a license for
 * up to twenty workstations.
 *
 * Example 4: Site License
 * Several dozen developers and testers work on the development of your
 * application using multiple environments. You have a large,
 * multi-disciplinary team involved in creating your solution. As your team
 * is growing and you want to avoid licensing limitations, the best choice
 * would be a site license.
 *
 * UPGRADE POLICY
 *
 * The PRODUCT is versioned according to the following convention:
 *
 *    [MAJOR].[MINOR].[PATCH]
 *
 * 1. COMMERCIAL LICENSE holders can install and use the updated version
 *    for bug fixes free of charge, i.e. if you have purchased a license
 *    for the [MAJOR].[MINOR] version (e.g., 5.0), you can freely install
 *    all releases specified in the [PATCH] version (e.g., 5.0.2).
 *    The license terms remain unchanged after the update.
 * 2. COMMERCIAL LICENSE holders for the [MAJOR].[MINOR] version (e.g., 5.0)
 *    can install and use the updated version [MAJOR].[MINOR + 1] free of
 *    charge, i.e., plus one release in the [MINOR] range (e.g., 5.1). The
 *    license terms remain unchanged after the update.
 * 3. COMMERCIAL LICENSE holders who wish to upgrade their version, but are
 *    not eligible for the free upgrade, can claim a discount when
 *    purchasing the upgrade. For this purpose, please contact us via e-mail.
 *
 * DISCLAIMER
 *
 * THIS PRODUCT IS PROVIDED BY THE AUTHOR & PUBLISHER "AS IS" AND ANY EXPRESS
 * OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL AUTHOR OR PUBLISHER OR CONTRIBUTORS BE
 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS PRODUCT, EVEN IF ADVISED OF
 * THE POSSIBILITY OF SUCH DAMAGE.
 *
 * THE VIEWS AND CONCLUSIONS CONTAINED IN THE PRODUCT AND DOCUMENTATION ARE
 * THOSE OF THE AUTHORS AND SHOULD NOT BE INTERPRETED AS REPRESENTING
 * OFFICIAL POLICIES, EITHER EXPRESSED OR IMPLIED, OF THE AUTHOR OR PUBLISHER.
 *
 * CONTACT
 *
 * - e-mail: info@mathparser.org
 * - website: https://mathparser.org
 * - source code: https://github.com/mariuszgromada/MathParser.org-mXparser
 * - online store: https://mathparser.org/order-commercial-license
 * - online store: https://payhip.com/infima
 */

#include "org/mariuszgromada/math/mxparser/mathcollection/Coefficients.hpp"
// --------------------------------------------------------------------------

namespace org::mariuszgromada::math::mxparser::mathcollection {

	/*
	 * --------------------------------------
	 * COEFFICIENTS FOR METHOD erfImp
	 * --------------------------------------
	*/
	/**
	 * Polynomial coefficients for a numerator of erfImp
	 * calculation for erf(x) in the interval [1e-10, 0.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpAn = {
		0.00337916709551257388990745, -0.00073695653048167948530905, -0.374732337392919607868241,
		0.0817442448733587196071743, -0.0421089319936548595203468, 0.0070165709512095756344528,
		-0.00495091255982435110337458, 0.000871646599037922480317225
	};
	/**
	 * Polynomial coefficients for  adenominator of erfImp
	 * calculation for erf(x) in the interval [1e-10, 0.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpAd = {
		1, -0.218088218087924645390535, 0.412542972725442099083918, -0.0841891147873106755410271,
		0.0655338856400241519690695, -0.0120019604454941768171266, 0.00408165558926174048329689,
		-0.000615900721557769691924509
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [0.5, 0.75].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpBn = {
		-0.0361790390718262471360258, 0.292251883444882683221149, 0.281447041797604512774415,
		0.125610208862766947294894, 0.0274135028268930549240776, 0.00250839672168065762786937
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [0.5, 0.75].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpBd = {
		1, 1.8545005897903486499845, 1.43575803037831418074962, 0.582827658753036572454135, 0.124810476932949746447682,
		0.0113724176546353285778481
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [0.75, 1.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpCn = {
		-0.0397876892611136856954425, 0.153165212467878293257683, 0.191260295600936245503129, 0.10276327061989304213645,
		0.029637090615738836726027, 0.0046093486780275489468812, 0.000307607820348680180548455
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [0.75, 1.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpCd = {
		1, 1.95520072987627704987886, 1.64762317199384860109595, 0.768238607022126250082483, 0.209793185936509782784315,
		0.0319569316899913392596356, 0.00213363160895785378615014
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [1.25, 2.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpDn = {
		-0.0300838560557949717328341, 0.0538578829844454508530552, 0.0726211541651914182692959,
		0.0367628469888049348429018, 0.00964629015572527529605267, 0.00133453480075291076745275,
		0.778087599782504251917881e-4
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [1.25, 2.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpDd = {
		1, 1.75967098147167528287343, 1.32883571437961120556307, 0.552528596508757581287907, 0.133793056941332861912279,
		0.0179509645176280768640766, 0.00104712440019937356634038, -0.106640381820357337177643e-7
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [2.25, 3.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpEn = {
		-0.0117907570137227847827732, 0.014262132090538809896674, 0.0202234435902960820020765,
		0.00930668299990432009042239, 0.00213357802422065994322516, 0.00025022987386460102395382,
		0.120534912219588189822126e-4
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [2.25, 3.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpEd = {
		1, 1.50376225203620482047419, 0.965397786204462896346934, 0.339265230476796681555511,
		0.0689740649541569716897427, 0.00771060262491768307365526, 0.000371421101531069302990367
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [3.5, 5.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpFn = {
		-0.00546954795538729307482955, 0.00404190278731707110245394, 0.0054963369553161170521356,
		0.00212616472603945399437862, 0.000394984014495083900689956, 0.365565477064442377259271e-4,
		0.135485897109932323253786e-5
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [3.5, 5.25].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpFd = {
		1, 1.21019697773630784832251, 0.620914668221143886601045, 0.173038430661142762569515,
		0.0276550813773432047594539, 0.00240625974424309709745382, 0.891811817251336577241006e-4,
		-0.465528836283382684461025e-11
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [5.25, 8].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpGn = {
		-0.00270722535905778347999196, 0.0013187563425029400461378, 0.00119925933261002333923989,
		0.00027849619811344664248235, 0.267822988218331849989363e-4, 0.923043672315028197865066e-6
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [5.25, 8].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpGd = {
		1, 0.814632808543141591118279, 0.268901665856299542168425, 0.0449877216103041118694989,
		0.00381759663320248459168994, 0.000131571897888596914350697, 0.404815359675764138445257e-11
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [8, 11.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpHn = {
		-0.00109946720691742196814323, 0.000406425442750422675169153, 0.000274499489416900707787024,
		0.465293770646659383436343e-4, 0.320955425395767463401993e-5, 0.778286018145020892261936e-7
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [8, 11.5].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpHd = {
		1, 0.588173710611846046373373, 0.139363331289409746077541, 0.0166329340417083678763028,
		0.00100023921310234908642639, 0.24254837521587225125068e-4
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [11.5, 17].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpIn = {
		-0.00056907993601094962855594, 0.000169498540373762264416984, 0.518472354581100890120501e-4,
		0.382819312231928859704678e-5, 0.824989931281894431781794e-7
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [11.5, 17].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpId = {
		1, 0.339637250051139347430323, 0.043472647870310663055044, 0.00248549335224637114641629,
		0.535633305337152900549536e-4, -0.117490944405459578783846e-12
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [17, 24].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpJn = {
		-0.000241313599483991337479091, 0.574224975202501512365975e-4, 0.115998962927383778460557e-4,
		0.581762134402593739370875e-6, 0.853971555085673614607418e-8
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [17, 24].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpJd = {
		1, 0.233044138299687841018015, 0.0204186940546440312625597, 0.000797185647564398289151125,
		0.117019281670172327758019e-4
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [24, 38].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpKn = {
		-0.000146674699277760365803642, 0.162666552112280519955647e-4, 0.269116248509165239294897e-5,
		0.979584479468091935086972e-7, 0.101994647625723465722285e-8
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [24, 38].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpKd = {
		1, 0.165907812944847226546036, 0.0103361716191505884359634, 0.000286593026373868366935721,
		0.298401570840900340874568e-5
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [38, 60].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpLn = {
		-0.583905797629771786720406e-4, 0.412510325105496173512992e-5, 0.431790922420250949096906e-6,
		0.993365155590013193345569e-8, 0.653480510020104699270084e-10
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [38, 60].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpLd = {
		1, 0.105077086072039915406159, 0.00414278428675475620830226, 0.726338754644523769144108e-4,
		0.477818471047398785369849e-6
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [60, 85].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpMn = {
		-0.196457797609229579459841e-4, 0.157243887666800692441195e-5, 0.543902511192700878690335e-7,
		0.317472492369117710852685e-9
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [60, 85].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpMd = {
		1, 0.052803989240957632204885, 0.000926876069151753290378112, 0.541011723226630257077328e-5,
		0.535093845803642394908747e-15
	};
	/**
	 * Polynomial coefficients for a numerator in erfImp
	 * calculation for erfc(x) in the interval [85, 110].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpNn = {
		-0.789224703978722689089794e-5, 0.622088451660986955124162e-6, 0.145728445676882396797184e-7,
		0.603715505542715364529243e-10
	};
	/**
	 * Polynomial coefficients for a denominator in erfImp
	 * calculation for erfc(x) in the interval [85, 110].
	 */
	API_VISIBLE const Array<double> Coefficients::erfImpNd = {
		1, 0.0375328846356293715248719, 0.000467919535974625308126054, 0.193847039275845656900547e-5
	};
	/*
	 *
	 * 	--------------------------------------
	 * 	COEFFICIENTS FOR METHOD erfInvImp
	 * 	--------------------------------------
	 */
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0, 0.5].
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpAn = {
		-0.000508781949658280665617, -0.00836874819741736770379, 0.0334806625409744615033, -0.0126926147662974029034,
		-0.0365637971411762664006, 0.0219878681111168899165, 0.00822687874676915743155, -0.00538772965071242932965
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0, 0.5].
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpAd = {
		1, -0.970005043303290640362, -1.56574558234175846809, 1.56221558398423026363, 0.662328840472002992063,
		-0.71228902341542847553, -0.0527396382340099713954, 0.0795283687341571680018, -0.00233393759374190016776,
		0.000886216390456424707504
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.5, 0.75].
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpBn = {
		-0.202433508355938759655, 0.105264680699391713268, 8.37050328343119927838, 17.6447298408374015486,
		-18.8510648058714251895, -44.6382324441786960818, 17.445385985570866523, 21.1294655448340526258,
		-3.67192254707729348546
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.5, 0.75].
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpBd = {
		1, 6.24264124854247537712, 3.9713437953343869095, -28.6608180499800029974, -20.1432634680485188801,
		48.5609213108739935468, 10.8268667355460159008, -22.6436933413139721736, 1.72114765761200282724
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpCn = {
		-0.131102781679951906451, -0.163794047193317060787, 0.117030156341995252019, 0.387079738972604337464,
		0.337785538912035898924, 0.142869534408157156766, 0.0290157910005329060432, 0.00214558995388805277169,
		-0.679465575181126350155e-6, 0.285225331782217055858e-7, -0.681149956853776992068e-9
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpCd = {
		1, 3.46625407242567245975, 5.38168345707006855425, 4.77846592945843778382, 2.59301921623620271374,
		0.848854343457902036425, 0.152264338295331783612, 0.01105924229346489121
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpDn = {
		-0.0350353787183177984712, -0.00222426529213447927281, 0.0185573306514231072324, 0.00950804701325919603619,
		0.00187123492819559223345, 0.000157544617424960554631, 0.460469890584317994083e-5, -0.230404776911882601748e-9,
		0.266339227425782031962e-11
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpDd = {
		1, 1.3653349817554063097, 0.762059164553623404043, 0.220091105764131249824, 0.0341589143670947727934,
		0.00263861676657015992959, 0.764675292302794483503e-4
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpEn = {
		-0.0167431005076633737133, -0.00112951438745580278863, 0.00105628862152492910091, 0.000209386317487588078668,
		0.149624783758342370182e-4, 0.449696789927706453732e-6, 0.462596163522878599135e-8,
		-0.281128735628831791805e-13, 0.99055709973310326855e-16
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpEd = {
		1, 0.591429344886417493481, 0.138151865749083321638, 0.0160746087093676504695, 0.000964011807005165528527,
		0.275335474764726041141e-4, 0.282243172016108031869e-6
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpFn = {
		-0.0024978212791898131227, -0.779190719229053954292e-5, 0.254723037413027451751e-4, 0.162397777342510920873e-5,
		0.396341011304801168516e-7, 0.411632831190944208473e-9, 0.145596286718675035587e-11,
		-0.116765012397184275695e-17
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpFd = {
		1, 0.207123112214422517181, 0.0169410838120975906478, 0.000690538265622684595676, 0.145007359818232637924e-4,
		0.144437756628144157666e-6, 0.509761276599778486139e-9
	};
	/**
	 * Polynomial coefficients for a numerator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpGn = {
		-0.000539042911019078575891, -0.28398759004727721098e-6, 0.899465114892291446442e-6, 0.229345859265920864296e-7,
		0.225561444863500149219e-9, 0.947846627503022684216e-12, 0.135880130108924861008e-14,
		-0.348890393399948882918e-21
	};
	/**
	 * Polynomial coefficients for a denominator of erfInvImp
	 * calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.
	 */
	API_VISIBLE const Array<double> Coefficients::ervInvImpGd = {
		1, 0.0845746234001899436914, 0.00282092984726264681981, 0.468292921940894236786e-4, 0.399968812193862100054e-6,
		0.161809290887904476097e-8, 0.231558608310259605225e-11
	};
	/**
	 * Supporting function
	 * while Exponential integral function Ei(x) calculation
	 */
	API_VISIBLE const Array<double> Coefficients::EI = {
		1.915047433355013959531e2, 4.403798995348382689974e2, 1.037878290717089587658e3, 2.492228976241877759138e3,
		6.071406374098611507965e3, 1.495953266639752885229e4, 3.719768849068903560439e4, 9.319251363396537129882e4,
		2.349558524907683035782e5, 5.955609986708370018502e5, 1.516637894042516884433e6, 3.877904330597443502996e6,
		9.950907251046844760026e6, 2.561565266405658882048e7, 6.612718635548492136250e7, 1.711446713003636684975e8,
		4.439663698302712208698e8, 1.154115391849182948287e9, 3.005950906525548689841e9, 7.842940991898186370453e9,
		2.049649711988081236484e10, 5.364511859231469415605e10, 1.405991957584069047340e11, 3.689732094072741970640e11,
		9.694555759683939661662e11, 2.550043566357786926147e12, 6.714640184076497558707e12, 1.769803724411626854310e13,
		4.669055014466159544500e13, 1.232852079912097685431e14, 3.257988998672263996790e14, 8.616388199965786544948e14,
		2.280446200301902595341e15, 6.039718263611241578359e15, 1.600664914324504111070e16, 4.244796092136850759368e16,
		1.126348290166966760275e17, 2.990444718632336675058e17, 7.943916035704453771510e17, 2.111342388647824195000e18,
		5.614329680810343111535e18, 1.493630213112993142255e19, 3.975442747903744836007e19, 1.058563689713169096306e20
	};
	/**
	 * Coefficients for Lanchos Gamma function approximation
	 */
	API_VISIBLE const Array<double> Coefficients::lanchosGamma = {
		0.99999999999980993, 676.5203681218851, -1259.1392167224028, 771.32342877765313, -176.61502916214059,
		12.507343278686905, -0.13857109526572012, 9.9843695780195716e-6, 1.5056327351493116e-7
	};
	/**
	 * Coefficients for Log Gamma function approximation - A
	 */
	API_VISIBLE const Array<double> Coefficients::logGammaA = {
		8.11614167470508450300E-4, -5.95061904284301438324E-4, 7.93650340457716943945E-4, -2.77777777730099687205E-3,
		8.33333333333331927722E-2
	};
	/**
	 * Coefficients for Log Gamma function approximation - B
	 */
	API_VISIBLE const Array<double> Coefficients::logGammaB = {
		-1.37825152569120859100E3, -3.88016315134637840924E4, -3.31612992738871184744E5, -1.16237097492762307383E6,
		-1.72173700820839662146E6, -8.53555664245765465627E5
	};
	/**
	 * Coefficients for Log Gamma function approximation - C
	 */
	API_VISIBLE const Array<double> Coefficients::logGammaC = {
		-3.51815701436523470549E2, -1.70642106651881159223E4, -2.20528590553854454839E5, -1.13933444367982507207E6,
		-2.53252307177582951285E6, -2.01889141433532773231E6
	};
	/**
	 * Coefficients for Lambert W function, series for q near zero
	 */
	API_VISIBLE const Array<double> Coefficients::lambertWqNearZero = {
		-1.0, 2.331643981597124203363536062168, -1.812187885639363490240191647568, 1.936631114492359755363277457668,
		-2.353551201881614516821543561516, 3.066858901050631912893148922704, -4.175335600258177138854984177460,
		5.858023729874774148815053846119, -8.401032217523977370984161688514, 12.250753501314460424,
		-18.100697012472442755, 27.029044799010561650
	};
} // org::mariuszgromada::math::mxparser::mathcollection